Scientific Part
Mechanics

Solution of the problem on bending of a multiconnected piecewise homogeneous electromagnetoelastic thin plate

S. A. Kaloerov, O. E. Ermakov

Donetsk State University, 24 Universitetskaya St., Donetsk 283001, Russia

Abstract: Using the complex potentials of the theory of bending of thin electromagnetoelastic plates, a solution has been obtained to the problem of bending a multiconnected piezoplate with elliptical inclusions made of other materials. In this case, functions holomorphic outside the holes are represented by Laurent series, and functions holomorphic in inclusions are represented by Faber polynomial series. By satisfying the boundary conditions on the contact contours of the plate and inclusions using the generalized least squares method, the determination of unknown coefficients of the series is reduced to an overridden system of linear algebraic equations solved by the singular value decomposition method. The results of numerical studies for a plate with two circular or linear inclusions are described. The patterns of the influence of the physical and mechanical properties of materials and geometric characteristics of inclusions on the values of bending moments and coefficients of the moment intensity for the ends of linear inclusions are investigated.

Key words: piezoplate, piezoinclusions, complex potentials, generalized least squares method, bending moments.

UDC: 539.3

Received: 07.04.2025
Accepted: 18.06.2025

DOI: 10.18500/1816-9791-2025-25-4-513-523